Sensor using piezoelectric elements

ABSTRACT

The periphery of a disk having flexibility is fixed to a sensor casing, and a force applied to the central portion is detected. A doughnut disk-shaped piezoelectric element is positioned on the upper surface of the disk, and upper electrode layers indicated by patterns of D1 to D6 are formed on the upper surface of the piezoelectric element. Further, lower electrode layers similarly having pattern of D1 to D6 are formed on the lower surface of the piezoelectric element, and the lower surface of the lower electrode layer is fixed on the upper surface of the disk. Six detection elements D1 to D6 are formed each of which is constituted by a pair of upper and lower electrode layers and a portion of piezoelectric element put therebetween. Thus, force component s exerted at an origin defined in the central portion of the disk in respective axes directions of X, Y, Z can be detected based on charges produced in detection elements D1, D2, detection elements D3, D4, and detection elements D5, D6, respectively.

BACKGROUND OF THE INVENTION

This invention relates to a sensor for force/acceleration/magnetismusing piezoelectric elements and, more particularly, to a sensor capableof detecting force, acceleration or magnetism every multi-dimensionalrespective components.

In the automobile industry or machinery industry, etc., there has beenan increased demand for sensors capable of precisely detecting physicalaction such as force, acceleration or magnetism. Particularly, compactsensors capable of detecting these physical actions everytwo-dimensional or three-dimensional respective components are beingrequired.

As such a compact sensor, in the U.S. patent application Ser. No.07/984,435 (European Patent Application No. 92914919.3), a novel sensorwhich has been developed by the same inventor as that of thisapplication is disclosed. This novel sensor is of a structure such thatplural detection elements each comprised of a piezoelectric element areprepared and such detection elements are disposed on a flexiblesubstrate, whereby when an external force is applied to a working bodyattached on the flexible substrate, bending takes place in the flexiblesubstrate. This bending is transmitted to the piezoelectric element. Inthe piezoelectric element, charges corresponding to the bending areproduced. It is thus the fundamental principle of this sensor that thereis employed a method of detecting an applied external force on the basisof the charges produced. Since the manner of how bending takes placevaries in dependency upon the direction of an applied external force,the state where charges are produced with respect to a plurality ofpiezoelectric elements arranged at respective predetermined positions isdetected, thereby making it possible to detect the magnitude and thedirection of the applied external force.

In the above-described sensor using piezoelectric element, fourdetection elements are required for the purpose of detecting a forceapplied in one axial direction. Accordingly, at least eight detectionelements are required for the two-dimensional force sensor, and at leasttwelve detection elements are required for the three-dimensional forcesensor. Accordingly, there is the problem that the structure becomescomplicated since a large number of detection elements should bearranged on a single flexible substrate. In addition, each detectionelement has two electrodes of an upper electrode and an lower electrode.Therefore, if independent wirings are respectively implemented to theserespective electrodes, the wiring pattern also becomes very complicated.

SUMMARY OF THE INVENTION

With the above in view, an object of this invention is to provide asensor using piezoelectric elements which can be of a simpler structure.

(1) The first feature of the present invention is to provide a forcesensor using piezoelectric elements comprising:

a substrate having flexibility wherein an origin is defined at a pointwithin the substrate and an X-axis and a Y-axis extending in a directionin parallel to a principle surface of the substrate are defined, theX-axis and the Y-axis being crossing perpendicular to each other at theorigin to form an XY coordinate system;

four detection elements composed of a piezoelectric element in a plateform, an upper electrode formed on an upper surface of the piezoelectricelement and a lower electrode formed on a lower surface of thepiezoelectric element, respective one of the upper electrode and thelower electrode being fixed to the substrate;

a working body having a function for transmitting, to the origin, aforce produced on the basis of a physical action exerted from anexternal and;

a sensor casing to which an outside peripheral portion of the substrateis fixed;

wherein a first detection element, a second detection element, a thirddetection element and a fourth detection element are respectivelyarranged in a negative region on the X-axis, in a positive region on theX-axis, in a negative region on the Y-axis and in a positive region onthe Y-axis, respectively;

wherein a force relating to the X-axis direction produced in the workingbody is detected on the basis of charges produced in the first detectionelement and the second detection element, and a force relating to theY-axis direction produced in the working body is detected on the basisof charges produced in the third detection element and the fourthdetection element.

(2) The second feature of the present invention is to provide a forcesensor using piezoelectric elements as described in the first feature:

wherein an inside annular region to surround the origin from a peripheryand an outside annular region to surround the inside annular regionfurther from a periphery thereof are defined;

wherein a first detection element is arranged in a region extending overthe second and third quadrants of the XY coordinate system within theoutside annular region;

wherein a second detection element is arranged in a region extendingover the first and fourth quadrants of the XY coordinate system withinthe outside annular region;

wherein a third detection element is arranged in a region extending overthe third and fourth quadrants of the XY coordinate system within theinside annular region; and

wherein a fourth detection element is arranged in a region extendingover the first and second quadrants of the XY coordinate system withinthe inside annular region.

(3) The third feature of the present invention is to provide a forcesensor using piezoelectric elements comprising:

a substrate having flexibility wherein an origin is defined at a pointwithin the substrate, an X-axis and a Y-axis extending in a direction inparallel to a principle surface of the substrate are defined, the X-axisand the Y-axis being crossing perpendicular to each other at the originto form an XY coordinate system, a Z-axis passing through the origin andperpendicular to an XY-plane passing through the origin is defined, anda fourth axis passing through the origin and extending along theXY-plane is defined;

six detection elements composed of a piezoelectric element in a plateform, an upper electrode formed on an upper surface of the piezoelectricelement and a lower electrode formed on a lower surface of thepiezoelectric element, respective one of the upper electrode and thelower electrode being fixed to the substrate;

a working body having a function for transmitting, to the origin, aforce produced on the basis of a physical action exerted from anexternal and;

a sensor casing to which an outside peripheral portion of the substrateis fixed;

wherein a first detection element, a second detection element, a thirddetection element a fourth detection element, a fifth detection elementand a sixth detection element are respectively arranged in a negativeregion on the X-axis, in a positive region on the X-axis, in a negativeregion on the Y-axis, in a positive region on the Y-axis, in a negativeregion on the fourth axis and in a positive region on the fourth axis,respectively;

wherein a force relating to the X-axis direction produced in the workingbody is detected on the basis of charges produced in the first detectionelement and the second detection element, a force relating to the Y-axisdirection produced in the working body is detected on the basis ofcharges produced in the third detection element and the fourth detectionelement and a force relating to the Z-axis direction produced in theworking body is detected on the basis of charges produced in the fifthdetection element and sixth detection element.

(4) The fourth feature of the present invention is to provide a forcesensor using piezoelectric elements as described in the third feature,wherein the X-axis is used as the fourth axis.

(5) The fifth feature of the present invention is to provide a forcesensor using piezoelectric elements as described in the fourth feature,

wherein an inside annular region to surround the origin from a peripheryand an outside annular region to surround the inside annular regionfurther from a periphery thereof are defined on the XY-plane;

wherein t he first detection element is arranged in a region extendingover the second and third quadrants of the XY coordinate system withinthe outside annular region;

wherein the second detection element is arranged in the region extendingover the first and fourth quadrants of the XY coordinate system withinthe outside annular region;

wherein the third detection element is arranged in a region extendingover the third and fourth quadrants of the XY coordinate system withinthe inside annular region;

wherein the fourth detection element is arranged in a region extendingover the first and second quadrants of the XY coordinate system withinthe inside annular region;

wherein the fifth detection element is arranged in a negative region onthe X-axis within the inside annular region so that it is positionedbetween the third and the fourth detection elements, and

wherein sixth detection element is arranged in a positive region on theX-axis within the inside annular region so that it is positioned betweenthe third and the fourth detection elements.

(6) The sixth feature of the present invention is to provide a forcesensor using piezoelectric elements as described in the fourth feature:

wherein an inside annular region to surround the origin from a peripheryand an outside annular region to surround the inside annular regionfurther from a periphery thereof are defined on the XY-plane;

wherein a first detection element is arranged in a region extending overthe first and second quadrants of the XY coordinate system within theoutside annular region;

wherein a second detection element is arranged in a region extendingover the third and fourth quadrants of the XY coordinate system withinthe outside annular region;

wherein a third detection element is arranged in a region extending overthe second and third quadrants of the XY coordinate system within theinside annular region;

wherein a fourth detection element is arranged in a region extendingover the first and fourth quadrants of the XY coordinate system withinthe inside annular region;

wherein a fifth detection element is arranged in a negative region onthe X-axis within the outside annular region so that it is positionedbetween the first and the second detection elements, and

wherein a sixth detection element is arranged in a positive region onthe X-axis within the outside annular region so that it is positionedbetween the first and the second detection elements.

(7) The seventh feature of the present invention is to provide a forcesensor using piezoelectric elements as described in the fifth feature:

wherein a seventh detection element and an eighth detection element arefurther provided in addition;

wherein the seventh detection element is arranged in the negative regionon the Y-axis within the outside annular region so that it is positionedbetween the first and the second detection elements;

wherein the eighth detection element is arranged in the positive regionon the Y-axis within the outside annular region so that it is positionedbetween the first and the second detection elements; and

wherein a force relating to the Z-axis direction produced in the workingbody is detected on the basis of charges produced in the fifth to theeighth detection elements.

(8) The eighth feature of the present invention is to provide a forcesensor using piezoelectric elements comprising:

a substrate having flexibility wherein an origin is defined at a pointwithin the substrate and an X-axis and a Y-axis extending in a directionin parallel to a principle surface of the substrate are defined, theX-axis and the Y-axis being crossing perpendicular to each other at theorigin to fore an XY coordinate system;

four detection elements composed of a piezoelectric element in a plateform, an upper electrode formed on an upper surface of the piezoelectricelement and a lower electrode formed on a lower surface of thepiezoelectric element, respective one of the upper electrode and thelower electrode being fixed to the substrate;

a working body having a function for transmitting, to an outsideperipheral portion of the substrate, a force produced on the basis of aphysical action exerted from an external and;

a sensor casing to which a vicinity of the origin is fixed;

wherein a first detection element, a second detection element, a thirddetection element and a fourth detection element are respectivelyarranged in a negative region on the X-axis, in a positive region on theX-axis, in a negative region on the Y-axis and in a positive region onthe Y-axis, respectively;

wherein a force relating to the X-axis direction produced in the workingbody is detected on the basis of charges produced in the first detectionelement and the second detection element, and a force relating to theY-axis direction produced in the working body is detected on the basisof charges produced in the third detection element and the fourthdetection element.

(9) The ninth feature of the present invention is to provide a forcesensor using piezoelectric elements as described in the eighth feature:

wherein an inside annular region to surround the origin from a peripheryand an outside annular region to surround the inside annular regionfurther from a periphery thereof are defined;

wherein a first detection element is arranged in a region extending overthe second and third quadrants of the XY coordinate system within theoutside annular region;

wherein a second detection element is arranged in a region extendingover the first and fourth quadrants of the XY coordinate system withinthe outside annular region;

wherein a third detection element is arranged in a region extending overthe third and fourth quadrants of the XY coordinate system within theinside annular region; and

wherein a fourth detection element is arranged in a region extendingover the first and second quadrants of the XY coordinate system withinthe inside annular region.

(10) The tenth feature of the present invention is to provide a forcesensor using piezoelectric elements comprising:

a substrate having flexibility wherein an origin is defined at a pointwithin the substrate, an X-axis and a Y-axis extending in a direction inparallel to a principle surface of the substrate are defined, the X-axisand the Y-axis being crossing perpendicular to each other at the originto form an XY coordinate system, a Z-axis passing through the origin andperpendicular to an XY-plane passing through the origin is defined, anda fourth axis passing through the origin and extending along theXY-plane is defined;

six detection elements composed of a piezoelectric element in a plateform, an upper electrode formed on an upper surface of the piezoelectricelement and a lower electrode formed on a lower surface of thepiezoelectric element, respective one of the upper electrode and thelower electrode being fixed to the substrate;

a working body having a function for transmitting, to an outsideperipheral portion of the substrate, a force produced on the basis of aphysical action exerted from an external and;

a sensor casing to which a vicinity of the origin is fixed;

wherein a first detection element, a second detection element, a thirddetection element a fourth detection element, a fifth detection elementand a sixth detection element are respectively arranged in a negativeregion on the X-axis, in a positive region on the X-axis, in a negativeregion on the Y-axis, in a positive region on the Y-axis, in a negativeregion on the fourth axis and in a positive region on the fourth axis,respectively;

wherein a force relating to the X-axis direction produced in the workingbody is detected on the basis of charges produced in the first detectionelement and the second detection element, a force relating to the Y-axisdirection produced in the working body is detected on the basis ofcharges produced in the third detection element and the fourth detectionelement and a force relating to the Z-axis direction produced in theworking body is detected on the basis of charges produced in the fifthdetection element and sixth detection element.

(11) The eleventh feature of the present invention is to provide a forcesensor using piezoelectric elements as described in the tenth feature,wherein the X-axis is used as the fourth axis.

(12) The twelfth feature of the present invention is to provide a forcesensor using piezoelectric elements as described in the eleventhfeature:

wherein an inside annular region to surround the origin from a peripheryand an outside annular region to surround the inside annular regionfurther from a periphery thereof are defined on t he XY-plane;

wherein the first detection element is arranged in a region extendingover the second and third quadrants of the XY coordinate system withinthe outside annular region;

wherein the second detection element is arranged in the region extendingover the first and fourth quadrants of the XY coordinate system withinthe outside annular region;

wherein the third detection element is arranged in a region extendingover the third and fourth quadrants of the XY coordinate system withinthe inside annular region;

wherein the fourth detection element is arranged in a region extendingover the first and second quadrants of the XY coordinate system withinthe inside annular region;

wherein the fifth detection element is arranged in a negative region onthe X-axis within the inside annular region so that it is positionedbetween the third and the fourth detection elements, and

wherein sixth detection element is arranged in a positive region on theX-axis within the inside annular region so that it is positioned betweenthe third and the fourth detection elements.

(13) The thirteenth feature of the present invention is to provide aforce sensor using piezoelectric elements as described in the eleventhfeature,

wherein an inside annular region to surround the origin from a peripheryand an outside annular region to surround the inside annular regionfurther from a periphery thereof are defined on t he XY-plane;

wherein a first detection element is arranged in a region extending overthe first and second quadrants of the XY coordinate system within theoutside annular region;

wherein a second detection element is arranged in a region extendingover the third and fourth quadrants of the XY coordinate system withinthe outside annular region;

wherein a third detection element is arranged in a region extending overthe second and third quadrants of the XY coordinate system within theinside annular region;

wherein a fourth detection element is arranged in a region extendingover the first and fourth quadrants of the XY coordinate system withinthe inside annular region;

wherein a fifth detection element is arranged in a negative region onthe X-axis within the outside annular region so that it is positionedbetween the first and the second detection elements, and

wherein a sixth detection element is arranged in a positive region onthe X-axis within the outside annular region so that it is positionedbetween the first and the second detection elements.

(14) The fourteenth feature of the present invention is to provide aforce sensor using piezoelectric elements as described in the twelfthfeature:

wherein a seventh detection element and an eighth detection element arefurther provided in addition;

wherein the seventh detection element is arranged in the negative regionon the Y-axis within the outside annular region so that it is positionedbetween the first and the second detection elements;

wherein the eighth detection element is arranged in the positive regionon the Y-axis within the outside annular region so that it is positionedbetween the first and the second detection elements; and

wherein a force relating to the Z-axis direction produced in the workingbody is detected on the basis of charges produced in the fifth to theeighth detection elements.

(15) The fifteenth feature of the present invention is to provide aforce sensor using piezoelectric elements as described in any one of theabove features:

wherein predetermined polarization processing is implemented topiezoelectric elements of respective detection elements;

so that two detection elements for detecting a force relating to theX-axis direction, which are arranged on the opposite side each otherwith respect to the origin, have an opposite polarization characteristiceach other;

so that two detection elements for detecting a force relating to theY-axis direction, which are arranged on the opposite side each otherwith respect to the origin, have an opposite polarization characteristiceach other; and

so that two detection elements for detecting a force relating t o t he Z-axis direct ion, which are arranged on the opposite side each otherwith respect to the origin, have a same polarization characteristic eachother.

(16) The sixteenth feature of the present invention is to provide aforce sensor using piezoelectric elements as described in any one of theabove features:

wherein piezoelectric elements of respective detection elements areconstituted by a physically single common piezoelectric plate andrespective portions of the con, non piezoelectric plate are utilized asindividual piezoelectric elements constituting respective detectionelements.

(17) The seventeenth feature of the present invention is to provide aforce sensor using piezoelectric elements as described in any one of theabove features:

wherein either a group of plural lower electrodes or a group of pluralupper electrodes is constituted by a single electrode layer.

(18) The eighteenth feature of the present invention is to provide aforce sensor using piezoelectric elements as described in theseventeenth feature:

wherein the substrate having flexibility is constituted by a conductivematerial and the substrate itself is used as the single electrode layer.

(19) The nineteenth feature of the present invention is to provide aforce sensor using piezoelectric elements as described in any one of theabove features:

wherein there are further provided four expanding/contracting elements,each of which comprises a piezoelectric element in a plate form, anupper electrode formed on an upper surface of the piezoelectric elementand a lower electrode formed on a lower surface of the piezoelectricelement, and the expanding/contracting elements expand or contract in alayer direction of the electrodes when a predetermined voltage isapplied between the upper electrode and the lower electrode, respectiveone of the upper electrode and the lower electrode of the respectiveexpanding/contracting elements being fixed to the substrate; and,

wherein the first expanding/contracting element, the secondexpanding/contracting element, the third expanding/contracting elementand the fourth expanding/contracting element are respectively arrangedin a negative region on the X-axis, in a positive region on the X-axis,in a negative region on the Y-axis, and in a positive region on theY-axis,

so as to conduct test for the sensor by applying predetermined voltagesacross electrodes of the respective expanding/contracting elements toinduce a displacement equivalent to the case where a force in apredetermined direction is applied to the working body.

(20) The twentieth feature of the present invention is to provide aforce sensor using piezoelectric elements as described in any one of theabove features:

wherein the working body has an enough weight to produce a force on thebasis of an acceleration applied from an external, thereby making itpossible to detect acceleration.

(21) The twenty first feature of the present invention is to provide aforce sensor using piezoelectric elements as described in any one of theabove features:

wherein the working body is made of magnetic material so as to produce aforce on the basis of magnetism applied from an external, thereby makingit possible to detect magnetism.

In the sensor having the above described features, it is sufficient fordetecting a force applied in one axial direction to prepare twodetection elements. Accordingly, it is sufficient for thetwo-dimensional force sensor to prepare four detection elements, and itis sufficient for the three-dimensional force sensor to prepare sixdetection elements. For this reason, the entire structure becomes verysimple.

Moreover, since such an inside annular region to encompass the originfrom the periphery and such an outside annular region to encompass theinside annular region further from the periphery thereof are defined onthe XY-plane and respective detection elements are disposed along theseannular regions, an efficient arrangement of detection elements can bemade. Thus, a compact sensor having high sensitivity can be realized.

Further, such polarization processing to respectively vary polarizationcharacteristics is carried out for every piezoelectric elementsconstituting respective detection elements, thereby making it possibleto conveniently set polarities of charges produced on respectiveelectrodes. For this reason, the wiring structures for respectiveelectrodes can be simplified.

In addition, when a single common piezoelectric element common torespective detection elements is used, or a common electrode layertherefor is used, the structure is simplified. When a substrate of aconductive material is further used, the substrate itself can beutilized as a common electrode layer. Accordingly, the number ofelectrode layers can be reduced.

The present invention further provides a method for adding aself-diagnostic function to the sensor as well. The piezoelectricelement has the property to produce charges on both electrodes byapplying mechanical deformation and also has the opposite property thatwhen a predetermined voltage is applied across the both electrodes, amechanical deformation corresponding thereto is produced. In view ofthis, if an expanding/contracting element having the same structure asthat of the detection element is disposed to apply a predeterminedvoltage to the extracting/contracting element, a deformation produced inthe extracting/contracting element is transmitted to the substrate, thusmaking it possible to make up, in pseudo manner, the state equivalent tothe state where a force is applied from the external. Accordingly, bydiagnosing an output of the expanding/contracting element as thedetection element in pseudo manner, test of the sensor can be made.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a top view of a prior sensor disclosed in the U.S. patentapplication No. 07/984,435 (European Patent Application No. 92914919.3).

FIG. 2 is a side cross sectional view of the sensor of FIG. 1 (only thecross sectional portion is depicted with respect to each electrodelayer).

FIG. 3 is a top view showing an arrangement of sixteen detectionelements D1 to D16 in the sensor of FIG. 1.

FIGS. 4a and 4b are views showing the polarization characteristic (typeI) of piezoelectric element 20 in the sensor of FIG. 1.

FIG. 5 is a side cross sectional view showing the state where force Fxin the X-axis direction is applied to the center of gravity G of theworking body 30 of the sensor of FIG. 1 (only the cross sectionalportion is depicted with respect to each electrode layer).

FIG. 6 is a side cross sectional view showing the state where force Fzin the Z-axis direction is applied to the center of gravity G of theworking body 30 of the sensor of FIG. 1 (only the cross sectionalportion is depicted with respect to each electrode layer).

FIG. 7 is a top view of a three-dimensional force sensor according to anembodiment of this invention.

FIG. 8 is a side cross sectional view of the sensor of FIG. 7 (only thecross sectional portion is depicted with respect to each electrodelayer).

FIG. 9 is a side cross sectional view showing the state where force Fxin the X-axis direction is applied to the working point P of the sensorof FIG. 7 (only the cross sectional portion is depicted with respect toeach electrode layer).

FIG. 10 is a side cross sectional view showing the state where force Fzin the Z-axis direction is applied to the working point P of the sensorof FIG. 7 (only the cross sectional portion is depicted with respect toeach electrode layer).

FIG. 11 is a table showing polarities of charges produced on the upperelectrode of respective detection elements D1 to D8 when forcecomponents Fx, Fy, Fz in respective axes directions are applied to thesensor of FIG. 7.

FIG. 12 is a circuit diagram showing an example of a detecting circuitused in the sensor of FIG. 7.

FIG. 13 is a circuit diagram showing an example of a Q/V convertingcircuit in the circuit diagram of FIG. 12.

FIG. 14 is a circuit diagram showing another example of the circuitconfiguration of the Q/V converting circuit in the circuit diagram ofFIG. 12.

FIG. 15 is a top view of a three-dimensional force sensor according toanother embodiment of this invention.

FIG. 16 is a circuit diagram showing a detecting circuit for detectingforce Fz in the Z-axis direction with respect to the sensor of FIG. 15.

FIG. 17 is a top view of a three-dimensional force sensor according to afurther embodiment of this invention.

FIG. 18 is a circuit diagram showing a detecting circuit for detectingforce Fz in the Z-axis direction with respect to the sensor of FIG. 17.

FIG. 19 is a top view of a two-dimensional force sensor according to anembodiment of this invention.

FIGS. 20a and 20b are views showing the polarization characteristic(type II) of the piezoelectric element 22 utilized in this invention.

FIG. 21 is a top view of a force sensor according to an embodiment ofthis invention utilizing a piezoelectric element 25 having partiallydifferent polarization characteristics.

FIG. 22 is a table showing polarities of charges produced on the upperelectrode of respective detection elements D1 to D8 when forcecomponents Fx, Fy, Fz in respective axes directions are applied to thesensor of FIG. 21.

FIG. 23 is a circuit diagram showing an example of a detecting circuitused in the sensor of FIG. 21.

FIG. 24 is a side cross sectional view showing the embodiment in whichlower electrode layers in the sensor of FIG. 21 are constructed as asingle common electrode layer (only the cross sectional portion isdepicted with respect to each electrode layer).

FIG. 25 is a side cross sectional view showing the embodiment in whichthe lower electrode layer in the sensor of FIG. 21 is constituted with aconductive strain generative body 55 itself (only the cross sectionalportion is depicted with respect to each electrode layer).

FIGS. 26a, 26b and 26c are views showing types of the polarizationcharacteristics in the case where different polarization characteristicsare applied to the piezoelectric element of the force sensor shown inFIGS. 15, 17 and 19, respectively.

FIG. 27 is a side cross sectional view showing an embodiment of anacceleration sensor according to this invention (only the crosssectional portion is depicted with respect to each electrode layer).

FIG. 28 is a side cross sectional view showing another embodiment of anacceleration sensor according to this invention (only the crosssectional portion is depicted with respect to each electrode layer).

FIG. 29 is a top view showing a sensor having self-diagnostic functionaccording to this invention.

FIG. 30 is a perspective view showing the fundamental principle of aconventionally proposed one-dimensional angular velocity sensorutilizing Coriolis force.

FIG. 31 is a view showing angular velocity components about respectiveaxes in the XYZ three-dimensional coordinate system to be detected inthe angular velocity sensor.

FIG. 32 is a view for explaining the fundamental principle to detectangular velocity ωx about the X-axis by using the sensor according tothis invention.

FIG. 33 is a view for explaining the fundamental principle to detectangular velocity ωy about the Y-axis by using the sensor according tothis invention.

FIG. 34 is a view for explaining the fundamental principle to detectangular velocity ωz about the Z-axis by using the sensor according tothis invention.

DESCRIPTION OF THE PREFERRED EMBODIMENTS

This invention will now be described in accordance with embodimentsshown.

§1. Conventionally Proposed Sensor

Initially, for reference, the structure and the operation of a sensordisclosed in the U.S. patent application Ser. No. 07/984,435 (EuropeanPatent Application No. 92914919.3) will be briefly described. FIG. 1 isa top view of this conventional sensor. A flexible substrate 10 is adisk-shaped substrate having flexibility which functions as so called adiaphragm. On this flexible substrate 10, a doughnut disk-shaped (orwasher-shaped) piezoelectric element 20 is disposed. On the uppersurface of the piezoelectric element 20, sixteen upper electrode layersL1 to L16 in forms as shown are formed at positions shown, respectively.Further, on the lower surface of the piezoelectric element 20, sixteenlower electrode layers M1 to M16 (not shown in FIG. 1) which haveexactly the same shapes as those of the upper electrode layers L1 to LI6are formed at positions opposite to the upper electrode layers L1 toL16, respectively. FIG. 2 is a side cross sectional view of this sensor(only the cross sectional portion is depicted with respect to eachelectrode layer for the purpose of avoiding complexity of the figure.This similarly applies to all the side cross sectional views). Asclearly shown in this figure, the doughnut disk-shaped piezoelectricelement 20 is in so called sandwich state where it is put betweensixteen upper electrode layers L1 to L16 (only L1 to L4 are shown inFIG. 2) and sixteen lower electrode layers M1 to M16 (only M1 to M4 areshown in FIG. 2). Further, the lower surfaces of the lower electrodelayers M1 to M16 are fixed on the upper surface of the flexiblesubstrate 10. On the other hand, a working body 30 is fixed on the lowersurface of the flexible substrate 10, and the peripheral portion of theflexible substrate 10 is fixedly supported by a sensor casing 40. Inthis embodiment, the flexible substrate 10 is constituted by aninsulating material. In the case where the flexible substrate 10 isconstituted by a conductive material such as metal, etc., an insulatingfilm is formed on the upper surface thereof to thereby prevent sixteenlower electrode layers M1 to M16 from being short-circuited.

For convenience of explanation, let now consider an XYZthree-dimensional coordinate system in which the center position O offlexible substrate 10 is caused to be the origin. Namely, in FIG. 1, anX-axis, a Y-axis and a Z-axis are defined in the right direction, in thelower direction, and in a direction perpendicular to plane surface ofpaper, respectively. FIG. 2 is a cross sectional view cut along the XZplane of this sensor. Flexible substrate 10, piezoelectric element 20,and respective electrode layers L1 to L16, M1 to M16 are all arranged inparallel to the XY-plane. Further, as shown in FIG. 1, on the XY-plane,a Wl-axis and a W2-axis are respectively defined in directions to form45 degrees relative to the X-axis or the Y-axis. These W1 and W2 axesare both passed through the origin O. When such a coordinate system isdefined, upper electrode layers L1 to L4 and lower electrode layers M1to M4 are arranged in order from the negative direction of the X-axistoward the positive direction thereof. Further, upper electrode layersL5 to L8 and lower electrode layers M5 to M8 are arranged in order fromthe negative direction of the Y-axis toward the positive directionthereof, and upper electrode layers L9 to L12 and lower electrode layersM9 to M12 are arranged in order from the negative direction of theW1-axis toward the positive direction thereof. In addition, upperelectrode layers L13 to L16 and lower electrode layers M13 to M16 arearranged in order from the negative direction of the W2-axis toward thepositive direction thereof.

It is well known that the piezoelectric element has the property thatwhen electrode layers are respectively formed on the upper and lowersurfaces of the piezoelectric element, and a predetermined voltage isapplied across this pair of electrode layers, a predetermined pressureis produced within the piezoelectric element, while when a predeterminedforce is applied to the piezoelectric element, a predetermined voltageis produced across the pair of electrode layers. It is now assumed thatsixteen detection elements D1 to D16 are respectively formed by thesixteen upper electrode layers L1 to L16, the sixteen lower electrodelayers M1 to M16 which have been described above, and sixteen portionsof piezoelectric element 20 put therebetween. For example, detectionelement D1 is formed by upper electrode layer L1, lower electrode layerM1, and a portion of piezoelectric element 20 put therebetween.Eventually, sixteen detection elements D1 to D16 are arranged asindicated by the top view of FIG. 3.

Now it is assumed that a piezoelectric ceramic material having apolarization characteristic as shown in FIGS. 4a and 4b is used as thepiezoelectric element 20 in this sensor. Namely, the piezoelectricelement has the polarization characteristic that in the case where aforce in a direction to expand along the XY-plane is exerted as shown inFIG. 4a, positive charges and negative charges are respectively producedon the upper electrode layer L and on the lower electrode layer M, whilein the case where a force in a direction to contract along the XY-planeis exerted as shown in FIG. 4b, negative and positive charges arerespectively produced on the upper electrode layer L and on the lowerelectrode layer M. It is now assumed that such a polarizationcharacteristic is called type I. Thus, sixteen detection elements D1 toD16 in this sensor all have piezoelectric element having thepolarization characteristic of the type I.

What phenomenon takes place in the case where an external force in apredetermined direction is applied to working body 30 in this sensorwill now be described. Let first consider the case where force Fx in theX-axis direction is applied to the center of gravity G of working body30. By action of such a force Fx, bending takes place in the flexiblesubstrate 10 which performs the function of diaphragm. Thus, adeformation as shown in FIG. 5 takes place. As a result, detectionelements D1, D3 arranged along the X-axis expand in the X-axisdirection, and detection elements D2, D4 similarly arranged along theX-axis contract in the X-axis direction. Since these piezoelectricelements have a polarization characteristic as shown in FIG. 4, chargesof polarity as indicated by symbols "+" and "-" encompassed by smallcircles in FIG. 5 are produced. In addition, in the case where force Fyin the Y-axis direction is applied, charges having predeterminedpolarities are similarly produced with respect to respective electrodelayers constituting detection elements D5 to D8 arranged along theY-axis.

Let now consider the case where force Fz in the Z-axis direction isapplied. In this case, flexible substructure 10 which performs thefunction of the diaphragm is deformed as shown in FIG. 6, so detectionelements D9, D12 arranged along the Wl-axis expand, and detectionelements D10, D11 similarly arranged along the Wl-axis contract. Forthis reason, charges of polarities as indicated by symbols "+" and "-"encompassed by small circles in FIG. 6 are produced. Also in respectiveelectrode layers constituting detection elements D13 to D16 arrangedalong the W2-axis, charges having predetermined polarities are similarlyproduced.

By making use of such phenomenon, charges produced in respectiveelectrode layers are detected, thereby making it possible to detectforce components exerted in respective axes directions. Namely, fordetecting force Fx in the X-axis direction, it is sufficient to detectcharges produced in detection elements D1 to D4. For detecting force Fyin the Y-axis direction, it is sufficient to detect charges produced indetection elements D5 to D8. For detecting force Fz in the Z-axisdirection, it is sufficient to detect charges produced in detectionelements D9 to D16. However, there is the problem that since fourdetection elements are used for detecting a force in one axial directionin the conventional sensor as stated above, the entire structure becomescomplicated.

§2. Embodiment Of Sensor According To This Invention

The top view and the side cross sectional view of a force sensoraccording to an embodiment of this invention are respectively shown inFIGS. 7 and 8. A strain generative body 50 is a disk-shaped member as awhole, and the upper surface portion thereof performs the function asflexible substrate 10 in the previously described sensor. A workingportion 51 at the central portion is a columnar portion projecteddownward and performs the function as working body 30 in the previouslydescribed sensor. Around the working portion 51, a doughnut shapedgroove is dug. The portion above the groove is thin in thickness. Inthis embodiment, the thin portion in thickness is called a flexibleportion 52. Further, the peripheral portion of the flexible portion 52,i.e., the outer circumferential portion of the strain generative body 50is called a fixed portion 53. As stated above, the strain generativebody 50 is composed of the working portion 51 at the central portion,the flexible portion 52 at the peripheral portion of the working portion51, and the fixed portion 53 at the peripheral portion of the flexibleportion 52. The flexible portion 52 is a portion literally having"flexibility" by the thin of the thickness. When a force is applied to apredetermined position (e.g., working point P shown in FIG. 8) ofworking body 51 in the state where fixed portion 53 is fixed to thesensor casing, mechanical deformation takes place in the flexibleportion 52. In this way, the upper surface portion of strain generativebody 50 performs the function as flexible substrate 10 in the previouslydescribed sensor.

A doughnut disk-shaped piezoelectric element 20 is disposed on straingenerative body 50. This piezoelectric element 20 is, similarly to thepreviously described sensor, a piezoelectric ceramic material having apolarization characteristic of the type I as shown in FIG. 4. Further,similarly to the previously described sensor, upper electrode layers andlower electrode layers are formed on the upper and lower surfaces of thepiezoelectric element 20 so that individual detection elements areformed. It is to be noted that, in this sensor, an arrangement ofdetection elements is different from that of the previously describedsensor. While sixteen detection elements in total are provided in thepreviously described sensor, eight detection elements D1 to D8 aremerely provided as indicated by the top view of FIG. 7 in the sensor ofthis embodiment. Respective detection elements are composed of upperelectrode layers A1 to A8, lower electrode layers B1 to B8, and portionsof piezoelectric element 20 put therebetween. The shape and thearrangement of the upper electrode layers A1 to A8 and the lowerelectrode layers B1 to B8 are the same. The plain view of the upperelectrode layers A1 to A8 is shown in FIG. 7 (In the top view of FIG. 7,the layers actually visible are the upper electrode layers A1 to A8,however, these visible electrode layers are indicated with reference D1to D8 in the figure, since the arrangement of the detection elements isimportant to explain the invention.) It is to be noted that, in the sidecross sectional view of FIG. 8, for avoiding complexity of the figure,only the cross sectional portions are depicted with respect to theseelectrode layers. While, in this embodiment, strain generative body 50is constituted by insulating material, in the case where it isconstituted by conductive material such as metal, etc., an insulatingfilm may be formed on the upper surface thereof to thereby prevent eightlower electrode layers B1 to B8 from being short-circuited.

Let now consider, for convenience of explanation, an XYZthree-dimensional coordinate system in which the central position Oshown in FIG. 8 is caused to be the origin. Namely, in FIG. 8, anX-axis, a Z-axis and a Y-axis are respectively defined in the rightdirection, in the lower direction, and in a direction perpendicular tothe plane surface of paper. The upper surface of strain generative body50, piezoelectric element 20, and respective electrode layers A1 to A8,B1 to B8 are all disposed in parallel to the XY-plane. The shape and thearrangement of respective detection elements D1 to D8 (in other words,the shape and the arrangement of respective electrode layers A1 to A8,B1 to B8) are one of the feature of this invention. As indicated by thetop view of FIG. 7, detection elements D1, D8, D2, D7 are arranged alongan annular zone (hereinafter referred to as an outside annular region),and detection elements D5, D4, D6, D3 are arranged along another annularzone positioned inside (hereinafter referred to as an inside annularregion). By disposing respective detection elements (i.e., respectiveelectrode layers) along the inside annular region and the outsideannular region defined so as to surround the origin O in this way, veryefficient detection can be made. It is to be noted that, as indicated bysingle dotted lines in FIG. 8, the outer circumferential portion ofrespective electrode layers arranged in the outside annular region iscaused to be in line with the outer circumferential portion (the outsidewall portion of doughnut shaped groove: single dotted lines S2) offlexible portion 52, and the inner circumferential portion of respectiveelectrode layers arranged in the inside annular region is caused to bein line with the inner circumferential portion (inner wall portion ofdoughnut shaped groove: single dotted lines S1) of flexible portion 52.This alignment is preferable in carrying out detection with highsensitivity.

The reason why a doughnut disk-shaped element having a circular openingwindow formed at the central portion is used as the piezoelectricelement 20 in this embodiment is to easily carry out the above-describedpositioning or alignment by using this opening window. In the case whereanother method capable of carrying out precise positioning or alignmentwithout utilizing such circular opening window can be carried out, adisk-shaped piezoelectric element 20 having no opening window may beused.

Explanation will now be given as to what phenomenon takes place in thecase where an external force in a predetermined direction is applied tothe working point P defined on the bottom surface of the working portion51 with the fixed portion 53 being fixed to the sensor casing of thesensor. Let first consider the case where force Fx in the X-axisdirection is applied to the working point P as shown in FIG. 9. Byaction of such a force Fx, bending occurs in the flexible portion 52.Thus, a deformation as shown in FIG. 9 takes place. As a result, thedetection elements D1, D6 arranged along the X-axis expand in the X-axisdirection, and the detection elements D5, D2 similarly arranged alongthe X-axis contract. Since the piezoelectric element put between theserespective electrode layers has polarization characteristic as shown inFIG. 4, charges of polarities as indicated by symbols "+" and "-"encompassed by small circles in FIG. 9 are produced in these respectiveelectrode layers. Further, in the case where force Fy in the Y-axisdirection is applied to the working point P, bending similarly takesplace in the flexible portion 52. Since the detection elements D7, D4arranged along the Y-axis expand in the Y-axis direction, charges of "+"and charges of "-" are respectively produced on the upper electrodes andon the lower electrodes. On the other hand, since the detection elementsD3, D8 similarly arranged along the Y-axis contract in the Y-axisdirection, charges of "-" and charges of "+" are respectively producedon the upper electrodes and on the lower electrodes.

Let now consider the case where force Fz in the Z-axis direction isapplied. In this case, the flexible portion 52 is deformed as shown inFIG. 10. Since the detection elements D1, D8, D2, D7 arranged in theoutside annular region expand, charges of "+" and charges of "-" arerespectively produced on the upper electrodes and on the lowerelectrodes. On the other hand, since the detection elements D5, D4, D6,D3 arranged in the inside annular region contract, charges of "-" andcharges of "+" are respectively produced on the upper electrodes and onthe lower electrodes.

A table shown in FIG. 11 indicates polarities of charges produced on theupper electrodes of respective detection elements in the case whereforce components Fx, Fy, Fz are respectively applied. Symbol "0" in thetable indicates that no charge is produced as a whole as the result ofthe fact that the piezoelectric element partially expands while itpartially contracts, so quantities of expansion and contraction whichhave the relationship of plus and minus are canceled. Further,polarities of charges produced on the lower electrodes are opposite tothose of this table. In addition, also when force components -Fx, -Fy,-Fz in the opposite direction are applied, there appear charges havingpolarities opposite to those of this table, respectively. Why such tableis obtained can be easily understood by making reference to the deformedstates shown in FIGS. 9 and 10 and the arrangement of respectivedetection elements shown in FIG. 7. The sensor of this embodimentdetects force Fx by the detection elements D1, D2, detects force Fy bythe detection elements D3, D4, and detects force Fz by the detectionelements D5 to D8.

§3. Example Of Detecting Circuit Of Sensor According To This Invention

For the purpose of carrying out detection of force by using theabove-described sensor, it is sufficient to prepare a detecting circuitas shown in FIG. 12. In this detecting circuit, Q/V converting circuits61 to 68 are respectively circuits for converting quantities of chargesproduced on both the upper and lower electrodes of respective detectionelements D1 to D8 to voltage values. For example, in the case wherecharges of "+" and charges of "-" are respectively produced on the upperelectrode layer and on the lower electrode layer, a positive voltage(with respect to the ground potential) corresponding to a quantity ofcharges produced is outputted from any circuits mentioned above. Incontrast, in the case where charges of "-" and charges of "+" arerespectively produced on the upper electrode layer and on the lowerelectrode layer, a negative voltage (with respect to the groundpotential) corresponding to a quantity of charges produced is outputtedfrom any circuits mentioned above. Voltages V1 to V8 outputted in thisway are delivered to operation elements 71 to 73. Outputs of theseoperation elements 71 to 73 are obtained at terminals Tx, Ty, Tz. Inthis instance, a voltage value with respect to the ground potential ofthe terminal Tx comes to a detection value of Fx, a voltage value withrespect to the ground potential of the terminal Ty comes to a detectionvalue of Fy, and a voltage value with respect to the ground potential ofthe terminal Tz comes to a detection value of Fz.

It is seen that voltage values obtained at the respective outputterminals Tx, Ty, Tz come to detection values of force components Fx,Fy, Fz by making reference to the table of FIG. 11. For example, in thecase where force Fx is exerted, charges of "+" are produced on the upperelectrode layer of the detection element D1, and charges of "-" areproduced on the lower electrode layer thereof. On the other hand,charges of "-" are produced on the upper electrode layer of thedetection element D2, and charges of "+" are produced on the lowerelectrode layer. Accordingly, V1 comes to a positive voltage, and V2comes to a negative voltage. By carrying out an operation expressed asV1-V2 by using the operation element 71, a sum of absolute values ofvoltages V1, V2 is determined. The sum thus obtained is outputted to theterminal Tx as a detection value of force Fx. Similarly, in the casewhere force Fy is exerted, charges of "-" are produced on the upperelectrode layer of the detection element D3 and charges of "+" areproduced on the lower electrode layer thereof. On the other hand,charges of "+" are produced on the upper electrode layer of thedetection element D4 and charges of "-" are produced on the lowerelectrode layer thereof. Accordingly, V3 comes to a negative voltage andV4 comes to a positive voltage. By carrying out an operation expressedas V4-V3 by using the operation element 72, a sum of absolute values ofvoltages V3, V4 is determined. The sum thus obtained is outputted to theterminal Ty as a detection value of Fy. Further, in the case where forceFz is exerted, charges of "-" and charges of "+" are respectivelyproduced on the upper electrode layers of the detection elements D5, D6and on the lower electrode layers thereof. On the other hand, charges of"+" and charges of "-" are respectively produced on the upper electrodelayers of the detection elements D7, D8 and on the lower electrodelayers thereof. Accordingly, V5, V6 come to a negative voltage, and V7,V8 come to a positive voltage. By carrying out an operation expressed asV7+V8-V5-V6 by using the operation element 73, a sum of absolute valuesof voltages V5 to V8 is determined. The sum thus obtained is outputtedto the terminal Tz as a detection value of Fz.

It should be noted that detection values obtained at the respectiveoutput terminals Tx, Ty, Tz do not include other axes components. Forexample, as indicated by the table of FIG. 11, in the case where onlyforce Fx is exerted, no charge is produced at the detection elements D3,D4 which are used for detecting force Fy. As a result, no detectionvoltage is obtained at the terminal Ty. At this time, charges (oppositepolarity) are respectively produced at the detection elements D5, D6which are used for detecting force Fz. However, since voltages V5 and V6are added to each other at the operation element 73, they are canceled.Also in this case, no detection voltage is obtained at the terminal Tz.In the case where only force Fy is exerted, no detection voltage issimilarly obtained except for the terminal Ty. In addition, in the casewhere only force Fz is exerted, no detection voltage is similarlyobtained except for the terminal Tz. Thus, components in three axesdirections of XYZ can be independently detected.

A Q/V converting circuit 60 shown in FIG. 13 is an example of thefundamental configuration of a circuit suitable for utilization as Q/Vconverting circuits 61 to 68 in the-detecting circuit shown in FIG. 12.Element designated at D in FIG. 13 corresponds to the detection elementsD1 to D8. As stated above, fundamentally, it is possible to convertcharges produced at a detection element D to a voltage by a simplecircuit configuration comprised of operational amplifier A, resistor Rand capacitor C. FIG. 14 shows another Q/V converting circuit. In thiscircuit, two stages of operational amplifiers connected in series areused. It is to be noted that the circuit shown here is presented onlyfor illustrative purpose, and conversion to voltage may be made ofcourse by using any circuit. Such Q/V converting circuit is exemplified,for example, on p.p. 94 to 101 of "Piezoelectric Ceramics NewTechnology" (Japanese Book: edited by the Japanese Electronics MaterialIndustrial Associate, and published by Ohm Co., Ltd.).

§4. Another Embodiment Of Sensor According To This Invention

Subsequently, various force sensors according to other embodiments ofthis invention will be disclosed. As seen from the table shown in FIG.11, in fact, it is not necessarily required to prepare four detectionelements for detection of force Fz. For example, even if only twodetection elements D5, D6 are used, it is possible to detect force Fz.Further, even if only two detection elements D7, D8 are used, it ispossible to detect force Fz. In short, in accordance with thisinvention, it is sufficient that, for detecting a force exerted in oneaxis direction, at least two detection elements are prepared. Theembodiment of which top view is shown in FIG. 15 is directed to a sensorusing only six detection elements D1 to D6. Since detection elements D7,D8 are not provided, the areas of the detection elements D1, D2 areincreased accordingly. When a circuit as shown in FIG. 16 is used tocarry out an operation expressed as -(V5+V6) by using operation element74, a detection value of force Fz is outputted to terminal Tz.

The embodiment of which top view is shown in FIG. 17 is directed to asensor using only six detection elements D1 to D4, D7, D8. Sincedetection elements D5, D6 are not provided, the areas of the detectionelements D3, D4 are increased accordingly. When a circuit as shown inFIG. 18 is used to carry out an operation expressed as (V7+V8) by usingoperation element 75, a detection value of force Fz is outputted toterminal Tz.

In addition to the above, two detection elements for detecting force Fzmay be arranged on any axis. In short, when a fourth axis W passingthrough the origin O on the XY-plane is defined and a pair of detectionelements are respectively arranged on the positive and negative sides ofthe fourth axis W, force Fz can be detected by these detection elements.FIG. 15 is the example where the fourth axis W is caused to be incorrespondence with the X-axis, and FIG. 17 is the example where thefourth axis W is caused to be in correspondence with the Y- axis.

While the embodiments of three-dimensional force sensors for detectingcomponents in respective axes directions of force with respect to threeaxes of XYZ have been described above, in the case of two-dimensionalforce sensors for detecting components in respective axes directions offorce with respect to two axes of XY, it is sufficient that only fourdetection elements are used. The embodiment of which top view is shownin FIG. 19 is directed to a two-dimensional force sensor using only fourdetection elements D1 to D4. Since any detection element for detectingforce Fz is not provided, the areas of the detection elements D1 to D4are increased accordingly.

While, in the above-described embodiments, the single piezoelectricelement 20 is used as a piezoelectric element which is common to alldetection elements, it may be constituted with a plurality ofpiezoelectric elements. For example, several independent piezoelectricelements may be used every respective detection elements, or severalindependent piezoelectric elements may be used every plural sets ofdetection elements.

§5. Embodiment For Implementing Different Polarization Processing ToPiezoelectric Element

As described above, with the sensors of this invention, it is possibleto detect components in respective axes directions of an applied forceon the basis of charges produced on the upper and lower electrode layersof respective detection elements. For this reason, it is necessary toimplement a predetermined wiring to respective electrode layers. Wiringsfor the upper electrode layers and wirings for the lower electrodelayers are mixed. Accordingly, in the case where such sensors aremass-produced, the cost for wiring cannot be disregarded as compared tothe total cost of products. The embodiment which will be described belowis adapted to partially vary the polarization characteristic of thepiezoelectric element to thereby simplify wiring to reduce themanufacturing cost.

In piezoelectric ceramic materials etc., elements having an arbitrarypolarization characteristic can be manufactured. For example, thepiezoelectric element 20 used in the above-described sensors had apolarization characteristic of the type I as shown in FIG. 4. On thecontrary, it is also possible to manufacture piezoelectric element 22having a polarization characteristic of the type II as shown in FIGS.20a and 20b. Namely, it is possible to manufacture piezoelectric element22 having a polarization characteristic such that in the case where aforce in a direction to expand along the XY-plane is exerted as shown inFIG. 20a, negative charges and positive charges are respectivelyproduced on the upper electrode layer L and on the-lower electrode layerM, while in the case where a force in a direction to contract along theXY-plane is exerted as shown in FIG. 20b, positive charges and negativecharges are respectively produced on the upper electrode layer L and thelower electrode layer M. In addition, a single piezoelectric element ispermitted to have the polarization characteristic of the type I at aportion and to have the polarization characteristic of the type II atanother portion. The embodiment which will be described below uses apiezoelectric element to which such a localized polarization processingis implemented to thereby simplify the structure of the sensor.

A sensor of which top view is shown in FIG. 21 is a sensor usingpiezoelectric element 25 to which such a localized polarizationprocessing is implemented. This piezoelectric element 25 is an elementwhich has exactly the same doughnut disk-shaped as that of piezoelectricelement 20 used in the sensor of FIG. 7 mentioned above. However, itspolarization characteristic is different from that of piezoelectricelement 20. The piezoelectric element 20 was an element in which allportions have the same polarization characteristic of the type I. On thecontrary, piezoelectric element 25 has polarization characteristic ofeither the type I or the type II in respective eight regions as shown inFIG. 21. Namely, this piezoelectric element 25 indicates thepolarization characteristic of the type I in the regions of detectionelements D1, D4, D7, D8, and indicates the polarization characteristicof the type II in the regions of detection elements D2, D3, D5, D6 (seeFIGS. 7 and 21).

As stated above, the sensor shown in FIG. 21 is a sensor usingpiezoelectric element 25 to which a localized polarization processing isimplemented. Now it will be considered how polarities of chargesproduced on respective electrode layers vary in this sensor. It is seenthat polarities of charges produced on the upper electrode layers andthe lower electrode layers formed in the region having polarizationcharacteristic of the type II are opposite to those of the previouslydescribed sensor. Namely, polarities relating to the detection elementsD2, D3, D5, D6 shown in the table of FIG. 11 are inverted. Thus, resultas shown in the table of FIG. 22 is obtained (bars indicated above thename of each detection element indicates that the polarizationcharacteristic of that detection element is inverted). Attention shouldbe drawn to the portions encompassed by thick line in the table of FIG.22. These portions are portions which participate in detection of forceFx, detection of force Fy, and detection of force Fz, and polarities ofcharges produced on the upper electrode side are all "+" . For thisreason, if a wiring as shown in FIG. 23 is implemented to respectivedetection elements, detection values of force components Fx, Fy, Fz canbe respectively obtained at terminals Txx, Tyy, Tzz as they are. Inother words, any operation element as shown in FIG. 12 becomesunnecessary.

The important point in the wiring shown in FIG. 23 resides in that lowerelectrode layers B1 to B8 are all connected commonly to the groundpotential (earth). Since lower electrode layers of all detectionelements are caused to conduct each other, wiring becomes very simple.If lower electrode layers B1 to B8 are permitted to be conductive inthis way, there is no necessity of intentionally allowing these eightelectrode layers to be respectively independent electrode layers.Namely, as shown in the side cross sectional view of FIG. 24, it issufficient to provide only one common lower electrode layer B0. Thecommon lower electrode layer B0 is a single doughnut shaped (like awasher) electrode layer, and serves as an electrode opposite to alleight upper electrode layers A1 to A8.

In order to further simplify the structure shown in FIG. 24, it issufficient to use conductive strain generative body 55 (straingenerative body comprised of, e.g., metal material). If this isimplemented, the structure in which the lower surface of piezoelectricelement 25 is directly connected to the upper surface of the straingenerative body 55 can be realized without using special lower electrodelayer B0 as shown in the side cross sectional view of FIG. 25. In thiscase, the strain generative body 55 itself functions as a common lowerelectrode layer B0. While the lower electrode layers are caused to be acommon single electrode layer in the above-described embodiment, theupper electrode layers may be a common single electrode layer in amanner opposite to the above.

By implementing a different polarization processing to the piezoelectricelement as stated above, it becomes possible to simplify wiring forelectrodes. It is to be noted that if a polarization processing as shownin FIG. 26a is implemented to the sensor of the embodiment shown in FIG.15, a polarization processing as shown in FIG. 26b is implemented to thesensor of the embodiment shown in FIG. 17, and a polarization processingas shown in FIG. 26c is implemented to the sensor of the embodimentshown in FIG. 19, wiring can be similarly simplified.

§6. Application To Acceleration Sensor/Magnetic Sensor

While the sensor according to this invention has been described as aforce sensor, this sensor can be also applied to an acceleration sensoror a magnetic sensor. For example, as shown in FIG. 27, if fixed portion53 of the sensor shown in FIGS. 7 and 8 is fixed to sensor casing 90 andannular weight body 81 is attached to the periphery of the workingportion 51, detection of acceleration can be made. That is, if thesensor casing 90 is attached to an automotive vehicle, etc., a force isexerted on the weight body 81 in dependency upon acceleration which theautomotive vehicle undergoes, and this force is transmitted to theflexible portion 52 through the working portion 51. Thus, accelerationcomponents αx, αy, αz in three axes directions can be detected in placeof force components Fx, Fy, Fz in three axes directions.

Further, if the weight body 81 is constituted with magnetic material(iron, cobalt, nickel, etc.), this sensor can be utilized as a magneticsensor. Namely, when this sensor is placed in magnetic field, the weightbody 81 comprised of magnetic material undergoes action of magneticforce. As a result, a force is exerted on the working portion 51.Accordingly, magnetism can be detected as a magnetic force that theworking portion 51 has undergone.

It is to be noted that while, in all the above-described embodiments,the fixed portion 53 positioned around the strain generative body 50 isfixed to the sensor casing so that an external force is exerted on theworking portion 51 positioned in the center, the central portion may befixed to the sensor casing so that an external force is exerted on theperipheral portion in a manner entirely opposite to the above. FIG. 28shows an example of an acceleration sensor based on such an idea. Inthis sensor, there is employed a structure such that the portioncorresponding to the working portion 51 in the sensor of FIG. 27 isfixed to the sensor casing 90 as fixed portion 53a, and the portioncorresponding to the fixed portion 53 is caused to freely undergodisplacement as working portion 51a. In addition, annular weight body 82is attached to the working portion 51a. Since the weight body 82 in thesensor shown in FIG. 28 has larger volume in structure as compared tothe weight body 81 in the sensor shown in FIG. 27, mass is permitted tobe larger as a weight body. Thus, sensitivity as the acceleration sensorcan be more improved.

§7. Addition Of Self-diagnostic Function

A force sensor shown in FIG. 29 is a sensor in which a self-diagnosticfunction is further added to the force sensor shown in FIG. 7. Thissensor differs from the force sensor shown in FIG. 7 in that fourexpanding/contracting elements E1 to E4 are provided in addition todetection elements D1 to D8. For the purpose of providing theseexpanding/contracting elements E1 to E4, detection elements D1 to D4 arein forms partially lacking. Expanding/contracting elements E1 to E4newly provided are exactly the same as detection elements D1 to D8 instructure. Namely, they have a structure in which a portion ofpiezoelectric element 20 is sandwiched between an upper electrode layerand a lower electrode layer. It is to be noted that detection elementsD1 to D8 are used for detecting partial expansion/contraction ofpiezoelectric element 20 as charges produced on both the upper and lowerelectrodes, whereas expanding/contracting elements E1 to E4 are used forallowing piezoelectric element 20 to undergo partialexpansion/contraction by applying a predetermined voltage across boththe upper and lower electrodes. As stated above, a detection element andan expanding/contracting element are different only in use, but both theelements are exactly the same in structure.

For example, if a voltage is applied so that the upper electrode and thelower electrode of the dexpanding/contracting element E1 respectivelyindicate "+" and "-" , this portion of piezoelectric element 20 expandsin a lateral direction as shown in FIG. 4a. At this time, if a voltageis applied at the same time so that the upper electrode and the lowerelectrode of the expanding/contracting element E2 respectively indicate"-" and "+" , this portion of piezoelectric element 20 contracts in alateral direction as shown in FIG. 4b. When such expansion/contractiontakes place, strain generative body 50 produces bending similar to thedisplacement state just shown in FIG. 5. This is equivalent to the statewhere external force Fx is exerted. Namely, there results the statewhere a displacement equivalent to the case where external force Fx isexerted is induced by applying a predetermined voltage to apredetermined expanding/contracting element although external force Fxis not exerted in fact. Accordingly, if, in this state, an approach isemployed to examine detection outputs by the detection elements D1, D2to examine whether or not an output equivalent to that when externalforce Fx is exerted is obtained, it is possible to carry outself-diagnosis with respect to the detection system of Fx in the X-axisdirection.

Similarly, by applying a predetermined voltage to theexpanding/contracting elements E3, E4, it is possible to induce adisplacement equivalent to the state where external force Fy is exerted.Accordingly, when, in this state, an approach is employed to examinedetection outputs by the detection elements D3, D4 to examine as towhether or not an output equivalent to the state where external force Fyis exerted is obtained, it is possible to carry out self-diagnosis withrespect to the detection system of force Fy in the Y-axis direction.

Further, by applying predetermined voltages to the expanding/contractingelements E1 to E4, it is also possible to induce a displacementequivalent to the state where external force Fz is exerted. Namely, ifvoltages are applied so that the upper electrodes of theexpanding/contracting elements E1, E2, E3, E4 respectively indicate "+","+", "-", "-" and the lower electrodes thereof respectively indicatepolarities opposite to the above, a bending similar to the displacementstate just shown in FIG. 6 takes place, resulting in the displacementstate equivalent to the state where external force Fz is exerted.Accordingly, when, in this state, an approach is employed to examinedetection outputs by the detection elements D5 to D8 to examine whetheror not an output equivalent to the state where external force Fz isexerted is obtained, it is possible to carry out self-diagnosis withrespect to the detection system of force Fz in the Z-axis direction.

§8. Application To Angular Velocity Sensor

While the above-described sensors according to this invention can detectforce, acceleration or magnetism, they can be applied to angularvelocity sensors in addition to the above. A method for application to amulti-axial angular velocity sensor capable of detecting angularvelocity components about plural axes will now be described. Initially,the principle of detection of angular velocity by a uni-axial angularvelocity sensor which provides basis of the multi-axial angular velocitysensor will be briefly described. FIG. 30 is a view showing thefundamental principle of an angular velocity sensor disclosed on p.60 ofthe Japanese Magazine "THE INVENTION" vol. 90 No. 3 (1993) Now, apillar-shaped oscillator (or vibrator) 110 is prepared and considerationwill be made in connection with an XYZ three-dimensional coordinatesystem in which X, Y, Z axes are defined in directions as shown. It isknown that in the case where the oscillator 110 is rotating at angularvelocity ω with the Z-axis which is an axis of rotation in such system,phenomenon as described below takes place. Namely, when the oscillator110 is caused to undergo an oscillation U such that it is reciprocatedin the X-axis direction, a Coriolis force F is produced in the Y-axisdirection. In other words, when the oscillator 110 is rotated with theZ-axis being as a rotational axis in the state where the oscillator 110is oscillated along the X-axis of the figure, Coriolis force F will beproduced in the Y-axis direction. This phenomenon is dynamic phenomenonknown from the old as Foucault pendulum. A Coriolis force F produced isexpressed as follows:

    F=2m·v·ω

In the above formula, m is a mass of the oscillator 110, v is aninstantaneous velocity with respect to an oscillation of the oscillator110, and ω is an instantaneous angular velocity of the oscillator 110.

The uni-axial angular velocity sensor disclosed in the previouslydescribed magazine detects angular velocity ω by making use of thisphenomenon. Namely, as shown in FIG. 30, a first piezoelectric element111 is attached to a first surface of the pillar-shaped oscillator 110,and a second piezoelectric element 112 is attached to a second surfaceperpendicular to the first surface. As piezoelectric elements 111, 112,a plate shaped element comprised of piezoelectric ceramic material isused. For the purpose of allowing the oscillator 110 to undergooscillation U, the piezoelectric element 111 is utilized. For detectingCoriolis force F produced, the piezoelectric element 112 is utilized.Namely, when an a.c. voltage is delivered to the piezoelectric element111, the piezoelectric element 111 repeats reciprocating movement sothat it oscillates in the X-axis direction. This oscillation U istransmitted to the oscillator 110. As a result, the oscillator 110oscillates in the X-axis direction. When the oscillator 110 itselfrotates at angular velocity ω with the Z-axis being as the axis ofrotation in the state where the oscillator 110 is caused to undergooscillation U as stated above, Coriolis force F is produced in theY-axis direction by the above-described phenomenon. Since this Coriolisforce F is exerted in a thickness direction of the piezoelectric element112, a voltage V proportional to Coriolis force F is produced on boththe surfaces of the piezoelectric element 112. Accordingly, by measuringthis voltage V, it becomes possible to detect angular velocity ω.

The above-described conventional angular velocity sensor is adapted fordetecting an angular velocity about the Z-axis. Accordingly, it isunable to carry out detection of angular velocity about the X-axis orthe Y-axis. However, when a three- dimensional sensor according to thisinvention is applied, a multi-axial velocity sensor capable ofrespectively independently detecting angular velocity ωx about theX-axis, angular velocity ωy about the Y-axis, and angular velocity ωzabout the Z-axis in the XYZ three-dimensional coordinate system withrespect to a predetermined object 120 can be realized as shown in FIG.31. The fundamental principle will now be described with reference toFIGS. 32 to 34. It is now assumed that oscillator 130 is placed at theposition of the origin of the XYZ three-dimensional coordinate system.In order to detect angular velocity ωx about the X-axis of theoscillator 130, it is sufficient to measure a Coriolis force Fy producedin the Y-axis direction when the oscillator 130 is caused to undergooscillation Uz in the Z-axis direction as shown in FIG. 32. The Coriolisforce Fy takes a value proportional to angular velocity ωx. Further, inorder to detect angular velocity ωy about the Y-axis of the oscillator130, it is sufficient to measure Coriolis force Fz produced in theZ-axis direction when the oscillator 130 is caused to undergooscillation Ux in the X-axis direction as shown in FIG. 33. The Coriolisforce Fz takes a value proportional to angular velocity ωy. In addition,in order to detect angular velocity ωz about the Z-axis of theoscillator 130, it is sufficient to measure Coriolis force Fx producedin the X-axis direction when the oscillator 130 is caused to undergooscillation Uy in the Y-axis direction as shown in FIG. 34. The Coriolisforce Fx takes a value proportional to angular velocity ωz.

Eventually, in order to detect angular velocity components everyrespective axes in the XYZ three-dimensional coordinate system, themechanism for allowing the oscillator 130 to undergo oscillation in theX-axis direction, the mechanism for allowing it to undergo oscillationin the Y-axis direction and the mechanism for allowing it to undergooscillation in the Z-axis direction, the mechanism for detectingCoriolis force Fx in the X-axis direction exerted on the oscillator 130,the mechanism for detecting Coriolis force Fy in the Y-axis directionexerted thereon and the mechanism for detecting Coriolis force Fz in theZ-axis direction exerted thereon are required.

Let now consider the sensor having self-diagnostic function shown inFIG. 29. As previously described, by applying predetermined voltages tothe expanding/contracting elements E1 to E4, this sensor can make up, inpseudo manner, a displacement state equivalent to the state where forceFx in the X-axis direction is applied to the working portion 51, adisplacement state equivalent to the state where force Fy in the Y-axisdirection is applied, and a displacement state equivalent to the statewhere force Fz in the Z-axis direction is applied. It is a matter ofcourse that if polarities of applied voltages are inverted, it is alsopossible to make up, in pseudo manner, a displacement state equivalentto the state where force -Fx in the -X-axis direction is applied to theworking portion 51, a displacement state equivalent to the state whereforce -Fy in the -Y-axis direction is applied, and a displacement stateequivalent to the state where force -Fz in the -Z-axis direction isapplied. By making use of this function, it is possible to oscillate theworking portion 51 in all directions of X, Y, Z. For example, when adisplacement state equivalent to the state where force Fx in the X-axisdirection is applied and a displacement state equivalent to the statewhere force -Fx in the -X-axis direction is applied are made upalternately, the working portion 51 oscillates in the X-axis direction.In a more practical sense, it is sufficient to apply a.c. voltageshaving phases opposite to each other to the expanding/contractingelements E1 and E2. When voltage of "+" and voltage of "-" arerespectively applied to the upper electrode and the lower electrode ofthe expanding/contracting element E1, and voltage of "-" and voltage of"+" are respectively applied to the upper electrode and the lowerelectrode of the expanding/contracting element E2, a displacement in thepositive direction of the X-axis is produced in the working portion 51(In FIG. 9, if the detection element D1 is read as theexpanding/contracting element E1, and the detection element D2 is readas the expanding/contracting element E2, this displacement state willresult). Since an applied voltage is an alternative current, polaritiesof voltages applied to the respective electrodes described above areinverted at the next half period. As a result, a displacement in anegative direction of the X-axis is produced in the working portion 51.Thus, the working portion 51 reciprocates in the positive and thenegative directions of the X-axis so that an oscillation takes place.Similarly, if a predetermined a.c. voltage is applied to a predeterminedexpanding/contracting element, it is possible to oscillate the workingportion 51 in the Y-axis direction, or to oscillate it in the Z-axisdirection.

On the other hand, the sensor having the self-diagnostic function shownin FIG. 29 can independently detect force components Fx, Fy, Fz appliedto the working portion 51 by using the detection elements D1 to D6.Eventually, this sensor has a function of oscillating the workingportion 51 in an arbitrary axis direction of X, Y, Z axes, and has afunction of independently detecting force components in X, Y, Z axesdirections applied to the working portion 51. If such functions are usedin combination, this sensor can be utilized as an angular velocitysensor. This is accomplished by using the principle of detection shownin FIGS. 32 to 34. For example, in order to detect angular velocity ωxabout the X-axis, it is sufficient to allow the working portion 51(corresponding to the oscillator 130) to undergo oscillation Uz in theZ-axis direction as shown in FIG. 32 to measure Coriolis force Fyproduced in the Y-axis direction. The Coriolis force Fy takes a valueproportional to angular velocity ωx. Further, in order to detect angularvelocity ωy about the Y-axis, it is sufficient to allow the workingportion 51 to undergo oscillation Ux in the X-axis direction as shown inFIG. 33 to measure Coriolis force Fz produced in the Z-axis direction.The Coriolis force Fz takes a value proportional to angular velocity ωy.In addition, in order to detect angular velocity ωz about the Z-axis, itis sufficient to allow the working portion 51 to undergo oscillation Uyin the Y-axis direction as shown in FIG. 34 to measure Coriolis force Fxproduced in the X-axis direction. The Coriolis force Fx takes a valueproportional to angular velocity ωz. It is to be noted that it isdesirable that a frequency of an oscillation is set to a resonantfrequency which can take a large amplitude. While, in theabove-described embodiments, oscillations in three axes directions areproduced to detect angular velocity components about three axes,oscillations in three directions are not necessarily required. Forexample, when there is employed a method comprising the steps of:

(1) measuring Coriolis force Fy in the Y-axis direction in the statewhere oscillation Uz in the Z-axis direction is produced to detectangular velocity ωx about the X-axis,

(2) measuring Coriolis force Fx in the X-axis direction in the statewhere oscillation Uz in the Z-axis direction is produced to detectangular velocity ωy about the Y-axis, and

(3) measuring Coriolis force Fx in the X-axis direction in the statewhere oscillation Uy in the Y-axis direction is produced to detectangular velocity ωz about the Z-axis, it is possible to detect allangular velocity components about three axes only by oscillations in twoaxes directions of the Z-axis direction and the Y-axis direction. Inaddition, various combinations are conceivable. If sensors according tothis invention are used as stated above, it is possible to detect allangular velocity components about three axes by a single sensor.

As described above, since a sensor according to this invention candetect a force exerted in one axis direction by two detection elements,the entire structure becomes very simple. Further, since an insideannular region to surround the origin from the periphery and an outsideannular region to surround the inside annular region further from theperiphery thereof are defined on the XY-plane, and respective detectionelements are disposed along these annular regions, efficient arrangementof detection elements can be made. Thus, compact and high sensitivitysensor can be realized. Further, by carrying out a particularpolarization processing to respectively vary polarization characteristicevery piezoelectric elements constituting respective detection elements,it becomes possible to conveniently set polarities of charges producedon respective electrodes. Thus, wiring structure for respectiveelectrodes is simplified. Further, by using a single commonpiezoelectric element caused to be common to respective detectionelements, or using a common electrode layer therefor, the structure issimplified. Furthermore, since if substrate of conductive material isused, this substrate itself can be utilized as a common electrode layer,the number of electrode layers can be reduced. In addition, when anexpanding/contracting element having the same structure as that of thedetection element is arranged, a predetermined voltage is applied to theexpanding/contracting element, thus making it possible to make up, inpseudo manner, a state equivalent to the state where an external forceis exerted. Thus, self-diagnosis of the sensor can be made.

What is claimed is:
 1. A force sensor using piezoelectric elementscomprising:a substrate having flexibility wherein an origin is definedat a point within said substrate and an X-axis and a Y-axis extending ina direction in parallel to a principle surface of said substrate aredefined, said X-axis and said Y-axis crossing perpendicular to eachother at the origin to fore an XY coordinate system; four detectionelements composed of a piezoelectric element in a plate form, an upperelectrode formed on an upper surface of said piezoelectric element and alower electrode formed on a lower surface of said piezoelectric element,respective one of said upper electrode and said lower electrode beingfixed to said substrate; a working body having a function fortransmitting, to the origin, a force produced on the basis of a physicalaction exerted from an external source and; a sensor casing to which anoutside peripheral portion of the substrate is fixed; wherein a firstdetection element, a second detection element, a third detection elementand a fourth detection element are respectively arranged in a negativeregion on the X-axis, in a positive region on the X-axis, in a negativeregion on the Y-axis and in a positive region on the Y-axis,respectively; wherein a force relating to the X-axis direction producedin the working body is detected on the basis of charges produced in thefirst detection element and the second detection element, and a forcerelating to the Y-axis direction produced in the working body isdetected on the basis of charges produced in the third detection elementand the fourth detection element.
 2. A force sensor using piezoelectricelements as set force in claim 1:wherein an inside annular region tosurround the origin from a periphery and an outside annular region tosurround said inside annular region further from a periphery thereof aredefined; wherein a first detection element is arranged in a regionextending over the second and third quadrants of the XY coordinatesystem within said outside annular region; wherein a second detectionelement is arranged in a region extending over the first and fourthquadrants of the XY coordinate system within said outside annularregion; wherein a third detection element is arranged in a regionextending over the third and fourth quadrants of the XY coordinatesystem within said inside annular region; and wherein a fourth detectionelement is arranged in a region extending over the first and secondquadrants of the XY coordinate system within said inside annular region.3. A force sensor using piezoelectric elements comprising:a substratehaving flexibility wherein an origin is defined at a point within saidsubstrate, an X-axis and a Y-axis extending in a direction in parallelto a principle surface of said substrate are defined, said X-axis andsaid Y-axis crossing perpendicular to each other at the origin to forman XY coordinate system, a Z-axis passing through the origin andperpendicular to an XY-plane passing through the origin is defined, anda fourth axis passing through the origin and extending along theXY-plane is defined; six detection elements composed of a piezoelectricelement in a plate form, an upper electrode formed on an upper surfaceof said piezoelectric element and a lower electrode formed on a lowersurface of said piezoelectric element, respective one of said upperelectrode and said lower electrode being fixed to said substrate; aworking body having a function for transmitting, to the origin, a forceproduced on the basis of a physical action exerted from an externalsource and; a sensor casing to which an outside peripheral portion ofthe substrate is fixed; wherein a first detection element, a seconddetection element, a third detection element a fourth detection element,a fifth detection element and a sixth detection element are respectivelyarranged in a negative region on the X-axis, in a positive region on theX-axis, in a negative region on the Y-axis, in a positive region on theY-axis, in a negative region on the fourth axis and in a positive regionon the fourth axis, respectively; wherein a force relating to the X-axisdirection produced in the working body is detected on the basis ofcharges produced in the first detection element and the second detectionelement, a force relating to the Y-axis direction produced in theworking body is detected on the basis of charges produced in the thirddetection element and the fourth detection element and a force relatingto the Z-axis direction produced in the working body is detected on thebasis of charges produced in the fifth detection element and sixthdetection element.
 4. A force sensor using piezoelectric elements as setforth in claim 3, wherein the X-axis is used as the fourth axis.
 5. Aforce sensor using piezoelectric elements as set forth in claim4:wherein an inside annular region to surround the origin from aperiphery and an outside annular region to surround said inside annularregion further from a periphery thereof are defined on the XY-plane;wherein the first detection element is arranged in a region extendingover the second and third quadrants of the XY coordinate system withinsaid outside annular region; wherein the second detection element isarranged in the region extending over the first and fourth quadrants ofthe XY coordinate system within the outside annular region; wherein thethird detection element is arranged in a region extending over the thirdand fourth quadrants of the XY coordinate system within said insideannular region; wherein the fourth detection element is arranged in aregion extending over the first and second quadrants of the XYcoordinate system within said inside annular region; wherein the fifthdetection element is arranged in a negative region on the X-axis withinsaid inside annular region so that it is positioned between the thirdand the fourth detection elements, and wherein sixth detection elementis arranged in a positive region on the X-axis within said insideannular region so that it is positioned between the third and the fourthdetection elements.
 6. A force sensor using piezoelectric element as setforth in claim 4:wherein an inside annular region to surround the originfrom a periphery and an outside annular region to surround said insideannular region further from a periphery thereof are defined on theXY-plane; wherein a first detection element is arranged in a regionextending over the first and second quadrants of the XY coordinatesystem within said outside annular region; wherein a second detectionelement is arranged in a region extending over the third and fourthquadrants of the XY coordinate system within said outside annularregion; wherein a third detection element is arranged in a regionextending over the second and third quadrants of the XY coordinatesystem within said inside annular region; wherein a fourth detectionelement is arranged in a region extending over the first and fourthquadrants of the XY coordinate system within said inside annular region;wherein a fifth detection element is arranged in a negative region onthe X-axis within said outside annular region so that it is positionedbetween the first and the second detection elements, and wherein a sixthdetection element is arranged in a positive region on the X-axis withinsaid outside annular region so that it is positioned between the firstand the second detection elements.
 7. A force sensor using piezoelectricelement as set forth in claim 5:wherein a seventh detection element andan eighth detection element are further provided in addition; whereinthe seventh detection element is arranged in the negative region on theY-axis within the outside annular region so that it is positionedbetween the first and the second detection elements; wherein the eighthdetection element is arranged in the positive region on the Y-axiswithin the outside annular region so that it is positioned between thefirst and the second detection elements; and wherein a force relating tothe Z-axis direction produced in the working body is detected on thebasis of charges produced in the fifth to the eighth detection elements.8. A force sensor using piezoelectric elements comprising:a substratehaving flexibility wherein an origin is defined at a point within saidsubstrate and an X-axis and a Y-axis extending in a direction inparallel to a principle surface of said substrate are defined, saidX-axis and said Y-axis crossing perpendicular to each other at theorigin to form an XY coordinate system; four detection elements composedof a piezoelectric element in a plate form, an upper electrode formed onan upper surface of said piezoelectric element and a lower electrodeformed on a lower surface of said piezoelectric element, respective oneof said upper electrode and said lower electrode being fixed to saidsubstrate; a working body having a function for transmitting, to anoutside peripheral portion of the substrate, a force produced on thebasis of a physical action exerted from an external source and; a sensorcasing to which said origin is fixed; wherein a first detection element,a second detection element, a third detection element and a fourthdetection element are respectively arranged in a negative region on theX-axis, in a positive region on the X-axis, in a negative region on theY-axis and in a positive region on the Y-axis, respectively; wherein aforce relating to the X-axis direction produced in the working body isdetected on the basis of charges produced in the first detection elementand the second detection element, and a force relating to the Y-axisdirection produced in the working body is detected on the basis ofcharges produced in the third detection element and the fourth detectionelement.
 9. A force sensor using piezoelectric elements as set force inclaim 8:wherein an inside annular region to surround the origin from aperiphery and an outside annular region to surround said inside annularregion further from a periphery thereof are defined; wherein a firstdetection element is arranged in a region extending over the second andthird quadrants of the XY coordinate system within said outside annularregion; wherein a second detection element is arranged in a regionextending over the first and fourth quadrants of the XY coordinatesystem within said outside annular region; wherein a third detectionelement is arranged in a region extending over the third and fourthquadrants of the XY coordinate system within said inside annular region;and wherein a fourth detection element is arranged in a region extendingover the first and second quadrants of the XY coordinate system withinsaid inside annular region.
 10. A force sensor using piezoelectricelements comprising:a substrate having flexibility wherein an origin isdefined at a point within said substrate, an X-axis and a Y-axisextending in a direction in parallel to a principle surface of saidsubstrate are defined, said X-axis and said Y-axis crossingperpendicular to each other at the origin to form an XY coordinatesystem, a Z-axis passing through the origin and perpendicular to anXY-plane passing through the origin is defined, and a fourth axispassing through the origin and extending along the XY-plane is defined;six detection elements composed of a piezoelectric element in a plateform, an upper electrode formed on an upper surface of saidpiezoelectric element and a lower electrode formed on a lower surface ofsaid piezoelectric element, respective one of said upper electrode andsaid lower electrode being fixed to said substrate; a working bodyhaving a function for transmitting, to an outside peripheral portion ofthe substrate, a force produced on the basis of a physical actionexerted from an external source and; a sensor casing to which saidorigin is fixed; wherein a first detection element, a second detectionelement, a third detection element a fourth detection element, a fifthdetection element and a sixth detection element are respectivelyarranged in a negative region on the X-axis, in a positive region on theX-axis, in a negative region on the Y-axis, in a positive region on theY-axis, in a negative region on the fourth axis and in a positive regionon the fourth axis, respectively; wherein a force relating to the X-axisdirection produced in the working body is detected on the basis ofcharges produced in the first detection element and the second detectionelement, a force relating to the Y-axis direction produced in theworking body is detected on the basis of charges produced in the thirddetection element and the fourth detection element and a force relatingto the Z-axis direction produced in the working body is detected on thebasis of charges produced in the fifth detection element and sixthdetection element.
 11. A force sensor using piezoelectric elements asset forth in claim 10, wherein the X-axis is used as the fourth axis.12. A force sensor using piezoelectric elements as set forth in claim11:wherein an inside annular region to surround the origin from aperiphery and an outside annular region to surround said inside annularregion further from a periphery thereof are defined on the XY-plane;wherein the first detection element is arranged in a region extendingover the second and third quadrants of the XY coordinate system withinsaid outside annular region; wherein the second detection element isarranged in the region extending over the first and fourth quadrants ofthe XY coordinate system within the outside annular region; wherein thethird detection element is arranged in a region extending over the thirdand fourth quadrants of the XY coordinate system within said insideannular region; wherein the fourth detection element is arranged in aregion extending over the first and second quadrants of the XYcoordinate system within said inside annular region; wherein the fifthdetection element is arranged in a negative region on the X-axis withinsaid inside annular region so that it is positioned between the thirdand the fourth detection elements, and wherein sixth detection elementis arranged in a positive region on the X-axis within said insideannular region so that it is positioned between the third and the fourthdetection elements.
 13. A force sensor using piezoelectric element asset forth in claim 11:wherein an inside annular region to surround theorigin from a periphery and an outside annular region to surround saidinside annular region further from a periphery thereof are defined onthe XY-plane; wherein a first detection element is arranged in a regionextending over the first and second quadrants of the XY coordinatesystem within said outside annular region; wherein a second detectionelement is arranged in a region extending over the third and fourthquadrants of the XY coordinate system within said outside annularregion; wherein a third detection element is arranged in a regionextending over the second and third quadrants of the XY coordinatesystem within said inside annular region; wherein a fourth detectionelement is arranged in a region extending over the first and fourthquadrants of the XY coordinate system within said inside annular region;wherein a fifth detection element is arranged in a negative region onthe X-axis within said outside annular region so that it is positionedbetween the first and the second detection elements, and wherein a sixthdetection element is arranged in a positive region on the X-axis withinsaid outside annular region so that it is positioned between the firstand the second detection elements.
 14. A force sensor usingpiezoelectric element as set forth in claim 12:wherein a seventhdetection element and an eighth detection element are further providedin addition; wherein the seventh detection element is arranged in thenegative region on the Y-axis within the outside annular region so thatit is positioned between the first and the second detection elements;wherein the eighth detection element is arranged in the positive regionon the Y-axis within the outside annular region so that it is positionedbetween the first and the second detection elements; and wherein a forcerelating to the Z-axis direction produced in the working body isdetected on the basis of charges produced in the fifth to the eighthdetection elements.
 15. A force sensor using piezoelectric elements asset forth in claim 1:wherein piezoelectric elements of respectivedetection elements are constituted by a physically single commonpiezoelectric plate and respective portions of said con, nonpiezoelectric plate are utilized as individual piezoelectric elementsconstituting respective detect ion elements.
 16. A force sensor usingpiezoelectric elements as set forth in claim 1:wherein the working bodyhas an enough weight to produce a force on the basis of an accelerationapplied from an external, thereby making it possible to detectacceleration.
 17. A force sensor using piezoelectric elements as setforth in claim 1:wherein the working body is made of magnetic materialso as to produce a force on the basis of magnetism applied from anexternal, thereby making it possible to detect magnetism.